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Finding the Fourth Proportional to 3,131.14, 4,696.69 and 939.80

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Solution

The fourth proportional to 3,131.14, 4,696.69 and 939.80 is: 1,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.14 : 4,696.69 = 939.80 : x
  2. Step 2: Convert to fraction form
    3,131.14/4,696.69 = 939.80/x
  3. Step 3: Cross multiply
    3,131.14x = 4,696.69 × 939.80
  4. Step 4: Simplify right side
    3,131.14x = 4,413,949.26
  5. Step 5: Solve for x
    x = 4,413,949.26/3,131.14
  6. Step 6: Final answer
    x = 1,409.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.